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July  2002, 8(3): 737-744. doi: 10.3934/dcds.2002.8.737

The general multi-dimensional Riemann problem for hyperbolic systems with real constant coefficients

Tatsien Li 1, and  Wancheng Sheng 2,

1. 

School of Mathematical Sciences, Fudan University, Han Dan Road 220, Shanghai 200433, China
2. 

Department of Mathematics, Shanghai University, Shanghai, 200436, China

Received  January 2001 Revised  December 2001 Published  April 2002

In this paper, we give the explicit solution to the general multi-dimensional Riemann problem for the canonical form of $2\times 2$ hyperbolic systems with real constant coefficients.
Keywords: hyperbolic system, General multi-dimensional Riemann problem, explicit solution., constant coefficients.
Mathematics Subject Classification: 35L65, 76N1.
Citation: Tatsien Li, Wancheng Sheng. The general multi-dimensional Riemann problem for hyperbolic systems with real constant coefficients. Discrete and Continuous Dynamical Systems, 2002, 8 (3) : 737-744. doi: 10.3934/dcds.2002.8.737
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